Mathematical writing · Between the Challenge and the Olympiad
Contents
13 chapters. Three hundred and eighty-eight problems from the Indian national olympiad qualifiers (PRMO and IOQM), arranged by topic and solved in full. The problems remain the work of the examiners who set them and are reproduced with attribution.
- 1Tools this book assumes
- 2Divisibility, Primes and Congruences
- 3Digits, Bases and Representation
- 4Diophantine Equations
- 5Polynomials and Equations
- 6Inequalities and Optimisation
- 7Sequences, Series and Recursions
- 8Counting and Arrangements
- 9Counting One Thing by Counting Another
- 10Pigeonhole, Extremal and Invariants
- 11Sets, Inclusion-Exclusion and Configurations
- 12Triangles: Lengths, Angles and Areas
- 13Circles, Coordinates and Trigonometry